IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 619 - 625 of 1025

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Question 619

Question MCQ▾

A number 100 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

Choices

Choice (4)Response

a.

10

b.

40

c.

60

d.

30

Edit

Question 620

Question MCQ▾

If six numbers are in A. P. such that their sum is 30 and the greatest number is 6 times the least, then the numbers are ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 621

Question MCQ▾

A number 196 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

Choices

Choice (4)Response

a.

70

b.

28

c.

42

d.

56

Edit

Question 622

Question MCQ▾

If , then is equal to ________

Choices

Choice (4)Response

a.

1428

b.

1128

c.

1228

d.

1328

Edit

Question 623

Question MCQ▾

Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.

Choices

Choice (4)Response

a.

1,99, 270

b.

1,23, 525

c.

4,41, 680

d.

1,94, 780

Edit

Question 624

Question MCQ▾

If the sum of terms of an A. P. are respectively, then is ________

Choices

Choice (4)Response

a.

1

b.

2

c.

0

d.

3

Edit

Question 625

Question MCQ▾

Find the sum of all four-digit natural numbers, which on being divided by 20, leave remainder equal to 5.

Choices

Choice (4)Response

a.

69,65, 000

b.

32,23, 001

c.

24,70, 500

d.

60,27, 000

Edit